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In this paper we introduce a method for extending binary qualitative direction calculi with adjustable granularity like OPRAm or the star calculus with a granular distance concept. This method is similar to the concept of extending points…

Artificial Intelligence · Computer Science 2010-12-30 Reinhard Moratz

The motivation for using qualitative shape descriptions is as follows: qualitative shape descriptions can implicitly act as a schema for measuring the similarity of shapes, which has the potential to be cognitively adequate. Then, shapes…

Computer Vision and Pattern Recognition · Computer Science 2017-05-09 Christopher H. Dorr , Reinhard Moratz

Nearly 15 years ago, a set of qualitative spatial relations between oriented straight line segments (dipoles) was suggested by Schlieder. This work received substantial interest amongst the qualitative spatial reasoning community. However,…

Artificial Intelligence · Computer Science 2009-12-31 Reinhard Moratz , Dominik Lücke , Till Mossakowski

This paper proposes an approach for the adaptation of spatial or temporal cases in a case-based reasoning system. Qualitative algebras are used as spatial and temporal knowledge representation languages. The intuition behind this adaptation…

Artificial Intelligence · Computer Science 2013-10-11 Valmi Dufour-Lussier , Florence Le Ber , Jean Lieber , Laura Martin

Human visual reasoning is characterized by an ability to identify abstract patterns from only a small number of examples, and to systematically generalize those patterns to novel inputs. This capacity depends in large part on our ability to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Taylor W. Webb , Shanka Subhra Mondal , Jonathan D. Cohen

We study an alternative to the prevailing approach to modelling qualitative spatial reasoning (QSR) problems as constraint satisfaction problems. In the standard approach, a relation between objects is a constraint whereas in the…

Artificial Intelligence · Computer Science 2007-05-23 Sebastian Brand

This paper deals with improving the capabilities of Large Language Models (LLM) to provide route instructions for pedestrian wayfinders by means of qualitative spatial relations.

Artificial Intelligence · Computer Science 2025-12-18 Reinhard Moratz , Niklas Daute , James Ondieki , Markus Kattenbeck , Mario Krajina , Ioannis Giannopoulos

This paper presents a novel method for qualitative mapping of large scale spaces. The proposed framework makes use of a graphical representation of the world in order to build a map consisting of qualitative constraints on the geometric…

Robotics · Computer Science 2014-02-04 Mark McClelland , Tara Estlin , Mark Campbell

We derive a general expression for the streaming term in radiative transport equa- tions and other transport problems when formulated in curvilinear coordinates, emphasizing coordinate systems adapted to the geometry of the domain and the…

Numerical Analysis · Mathematics 2025-08-29 Johannes Krotz , Ryan G. McClarren

Analyzing flow of objects or data at different granularities of space and time can unveil interesting insights or trends. For example, transportation companies, by aggregating passenger travel data (e.g., counting passengers traveling from…

Databases · Computer Science 2025-12-22 Chrysanthi Kosyfaki , Nikos Mamoulis , Reynold Cheng , Ben Kao

Recent open-vocabulary robot mapping methods enrich dense geometric maps with pre-trained visual-language features, achieving a high level of detail and guiding robots to find objects specified by open-vocabulary language queries. While the…

Robotics · Computer Science 2026-03-04 Fujing Xie , Sören Schwertfeger , Hermann Blum

Causal reasoning and compositional reasoning are two core aspirations in AI. Measuring the extent of these behaviors requires principled evaluation methods. We explore a unified perspective that considers both behaviors simultaneously,…

Computation and Language · Computer Science 2025-06-11 Jacqueline R. M. A. Maasch , Alihan Hüyük , Xinnuo Xu , Aditya V. Nori , Javier Gonzalez

Spatial reasoning poses a particular challenge for intelligent agents and is at the same time a prerequisite for their successful interaction and communication in the physical world. One such reasoning task is to describe the position of a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Kyra Ahrens , Matthias Kerzel , Jae Hee Lee , Cornelius Weber , Stefan Wermter

In modern data analytics, analysts frequently face the challenge of searching for desirable entities by evaluating, for each entity, a collection of its feature relations to derive key analytical properties. This search is challenging…

Databases · Computer Science 2025-07-25 Xi Wu , Eugene Wu , Zichen Zhu , Fengan Li , Jeffrey F. Naughton

The emergence of Vision-Language Models (VLMs) has introduced new paradigms for global image geo-localization through retrieval-augmented generation (RAG) and reasoning-driven inference. However, RAG methods are constrained by retrieval…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Bo Yu , Fengze Yang , Yiming Liu , Chao Wang , Xuewen Luo , Taozhe Li , Ruimin Ke , Xiaofan Zhou , Chenxi Liu

This article deals with OLAP systems based on multidimensional model. The conceptual model we provide, represents data through a constellation (multi-facts) composed of several multi-hierarchy dimensions. In this model, data are displayed…

Databases · Computer Science 2010-05-20 Franck Ravat , Olivier Teste , Gilles Zurfluh

Rational approximations are introduced and studied in granular graded rough sets and generalizations thereof by the first author in recent research papers. The concept of rationality is determined by related ontologies and coherence between…

Artificial Intelligence · Computer Science 2022-11-01 A Mani , Sushmita Mitra

The evolution of occupied volume under progressive fragmentation of granular matter is studied using a purely geometric model. Rather than modelling disorder directly, properties are investigated by analysing highly ordered reference…

Soft Condensed Matter · Physics 2026-03-25 Malkhazi A. Meladze

Optimal transport (OT) is a widely used technique for distribution alignment, with applications throughout the machine learning, graphics, and vision communities. Without any additional structural assumptions on trans-port, however, OT can…

Machine Learning · Computer Science 2021-07-20 Chi-Heng Lin , Mehdi Azabou , Eva L. Dyer

I propose a paradigm for scientific progress in NLP centered around developing scalable, data-driven theories of linguistic structure. The idea is to collect data in tightly scoped, carefully defined ways which allow for exhaustive…

Computation and Language · Computer Science 2023-12-04 Julian Michael
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